wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The mid-point of the line segment joining (4a, 2b - 3) and (-4, 3b) is (2, -2a). Find the values of a and b.

Open in App
Solution

It is given that the mid-point of the line-segment joining (4a, 2b – 3) and (-4, 3b) is (2, -2a).
left parenthesis 2 comma negative 2 a right parenthesis equals open parentheses fraction numerator 4 a minus 4 over denominator 2 end fraction comma fraction numerator 2 b minus 3 plus 3 b over denominator 2 end fraction close parentheses 2 equals fraction numerator 4 a minus 4 over denominator 2 end fraction 4 a minus 4 equals 4 4 a equals 8 a equals 2 A l s o minus 2 a equals fraction numerator 2 b minus 3 plus 3 b over denominator 2 end fraction minus 2 cross times 2 equals fraction numerator 5 b minus 3 over denominator 2 end fraction 5 b minus 3 equals negative 8 5 b equals negative 5 b equals negative 1

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Section Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon